On the homogenization of the Poisson equation in partially perforated domains with arbitrary density of cavities and mixed type conditions on their boundary
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 7 (1996) no. 3, pp. 129-146

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In this paper we study the behavior of solutions of the boundary value problem for the Poisson equation in a partially perforated domain with arbitrary density of cavities and mixed type conditions on their boundary. The corresponding spectral problem is also considered. A short communication of similar results can be found in [1].
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     author = {Oleinik, Olga A. and Shaposhnikova, Tatiana A.},
     title = {On the homogenization of the {Poisson} equation in partially perforated domains with arbitrary density of cavities and mixed type conditions on their boundary},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {129--146},
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Oleinik, Olga A.; Shaposhnikova, Tatiana A. On the homogenization of the Poisson equation in partially perforated domains with arbitrary density of cavities and mixed type conditions on their boundary. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 7 (1996) no. 3, pp. 129-146. http://geodesic.mathdoc.fr/item/RLIN_1996_9_7_3_a1/